52241200 has 120 divisors (see below), whose sum is σ = 141705216. Its totient is φ = 18336000.

The previous prime is 52241183. The next prime is 52241201. The reversal of 52241200 is 214225.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (52241201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136209 + ... + 136591.

Almost surely, 2^52241200 is an apocalyptic number.

52241200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70852608).

52241200 is an abundant number, since it is smaller than the sum of its proper divisors (89464016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52241200 is a wasteful number, since it uses less digits than its factorization.

52241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 52241200 is about 7227.8074130403. The cubic root of 52241200 is about 373.8273293311.

Adding to 52241200 its reverse (214225), we get a palindrome (52455425).

It can be divided in two parts, 52241 and 200, that added together give a square (52441 = 229²).

The spelling of 52241200 in words is "fifty-two million, two hundred forty-one thousand, two hundred".